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arXiv · 1201.4350

Heat content asymptotics with singular data

M. van den Berg·P. Gilkey
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Abstract

We study the asymptotic behaviour of the heat content on a compact Riemannian manifold with boundary and with singular specific heat and singular initial temperature distributions. Assuming the existence of a complete asymptotic series we determine the first three terms in that series. In addition to the general setting, the interval is studied in detail.

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M. van den Berg, P. Gilkey. 2012-01-20. Heat content asymptotics with singular data. https://doi.org/10.1088/1751-8113/45/37/374027

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